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Finding the Third Proportional to 24,966 and 55,224

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Solution

The third proportional to 24,966 and 55,224 is: 122,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,966 : 55,224 = 55,224 : x
  2. Step 2: Convert to fraction form
    24,966/55,224 = 55,224/x
  3. Step 3: Cross multiply
    24,966x = 55,224 × 55,224
  4. Step 4: Simplify right side
    24,966x = 3,049,690,176
  5. Step 5: Solve for x
    x = 3,049,690,176/24,966
  6. Step 6: Final answer
    x = 122,153.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.